3415658979456 has 512 divisors, whose sum is σ = 10411574112000. Its totient is φ = 1115739795456.

The previous prime is 3415658979449. The next prime is 3415658979457. The reversal of 3415658979456 is 6549798565143.

It is a happy number.

3415658979456 is a `hidden beast` number, since 3 + 4 + 1 + 56 + 58 + 9 + 79 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3415658979457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5045286190 + ... + 5045286866.

Almost surely, 2^{3415658979456} is an apocalyptic number.

3415658979456 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 3415658979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205787056000).

3415658979456 is an abundant number, since it is smaller than the sum of its proper divisors (6995915132544).

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

3415658979456 is an frugal number, since it uses more digits than its factorization.

3415658979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1018 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 3415658979456 in words is "three trillion, four hundred fifteen billion, six hundred fifty-eight million, nine hundred seventy-nine thousand, four hundred fifty-six".