3077952 has 112 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 901120.

The previous prime is 3077951. The next prime is 3077953. The reversal of 3077952 is 2597703.

It is an interprime number because it is at equal distance from previous prime (3077951) and next prime (3077953).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3077951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75052 + ... + 75092.

It is an arithmetic number, because the mean of its divisors is an integer number (82296).

Almost surely, 2^3077952 is an apocalyptic number.

3077952 is a gapful number since it is divisible by the number (32) 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 3077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3077952 is an abundant number, since it is smaller than the sum of its proper divisors (6139200).

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

3077952 is a wasteful number, since it uses less digits than its factorization.

3077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 3077952 is about 1754.4093023009. The cubic root of 3077952 is about 145.4634714219.

Subtracting from 3077952 its reverse (2597703), we obtain a square (480249 = 693²).

The spelling of 3077952 in words is "three million, seventy-seven thousand, nine hundred fifty-two".