3407033700672 has 56 divisors (see below), whose sum is σ = 10302220956096. Its totient is φ = 973438199808.

The previous prime is 3407033700647. The next prime is 3407033700689. The reversal of 3407033700672 is 2760073307043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267496313 + ... + 1267499000.

Almost surely, 2^{3407033700672} is an apocalyptic number.

3407033700672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3407033700672 is an abundant number, since it is smaller than the sum of its proper divisors (6895187255424).

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

3407033700672 is a wasteful number, since it uses less digits than its factorization.

3407033700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534995335 (or 2534995325 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 42.

The spelling of 3407033700672 in words is "three trillion, four hundred seven billion, thirty-three million, seven hundred thousand, six hundred seventy-two".