3407976 has 96 divisors (see below), whose sum is σ = 10876320. Its totient is φ = 950400.

The previous prime is 3407947. The next prime is 3407977. The reversal of 3407976 is 6797043.

It is a super-2 number, since 2×3407976² = 23228600833152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3407976.

It is not an unprimeable number, because it can be changed into a prime (3407977) 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, 10131 + ... + 10461.

It is an arithmetic number, because the mean of its divisors is an integer number (113295).

Almost surely, 2^3407976 is an apocalyptic number.

3407976 is a gapful number since it is divisible by the number (36) 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 3407976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438160).

3407976 is an abundant number, since it is smaller than the sum of its proper divisors (7468344).

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

3407976 is a wasteful number, since it uses less digits than its factorization.

3407976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3407976 is about 1846.0704211920. The cubic root of 3407976 is about 150.4869508154.

The spelling of 3407976 in words is "three million, four hundred seven thousand, nine hundred seventy-six".