3692640 has 144 divisors (see below), whose sum is σ = 13617072. Its totient is φ = 838656.

The previous prime is 3692617. The next prime is 3692641. The reversal of 3692640 is 462963.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹³ + 6³ + 9³ + 2²¹ + 6³ + 4 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3692598 and 3692607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3692641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23442 + ... + 23598.

It is an arithmetic number, because the mean of its divisors is an integer number (94563).

Almost surely, 2^3692640 is an apocalyptic number.

3692640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808536).

3692640 is an abundant number, since it is smaller than the sum of its proper divisors (9924432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3692640 is a wasteful number, since it uses less digits than its factorization.

3692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3692640 is about 1921.6243129186. The cubic root of 3692640 is about 154.5654146391.

The spelling of 3692640 in words is "three million, six hundred ninety-two thousand, six hundred forty".