3690762240 has 416 divisors, whose sum is σ = 13285933056. Its totient is φ = 867041280.

The previous prime is 3690762223. The next prime is 3690762241. The reversal of 3690762240 is 422670963.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3690762241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29061057 + ... + 29061183.

Almost surely, 2^3690762240 is an apocalyptic number.

3690762240 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 3690762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642966528).

3690762240 is an abundant number, since it is smaller than the sum of its proper divisors (9595170816).

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

3690762240 is a wasteful number, since it uses less digits than its factorization.

3690762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3690762240 is about 60751.6439283745. The cubic root of 3690762240 is about 1545.3921062579.

The spelling of 3690762240 in words is "three billion, six hundred ninety million, seven hundred sixty-two thousand, two hundred forty".