3407400675 has 192 divisors, whose sum is σ = 7516185600. Its totient is φ = 1499057280.

The previous prime is 3407400671. The next prime is 3407400727. The reversal of 3407400675 is 5760047043.

It is not a de Polignac number, because 3407400675 - 2² = 3407400671 is a prime.

It is a super-2 number, since 2×3407400675² = 23220758719980911250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3407400671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11098872 + ... + 11099178.

It is an arithmetic number, because the mean of its divisors is an integer number (39146800).

Almost surely, 2^3407400675 is an apocalyptic number.

3407400675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3407400675 is an abundant number, since it is smaller than the sum of its proper divisors (4108784925).

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

3407400675 is an equidigital number, since it uses as much as digits as its factorization.

3407400675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3407400675 is about 58372.9447175659. The cubic root of 3407400675 is about 1504.7848207644.

The spelling of 3407400675 in words is "three billion, four hundred seven million, four hundred thousand, six hundred seventy-five".