3432674336640 has 128 divisors (see below), whose sum is σ = 11127101500800. Its totient is φ = 899864881152.

The previous prime is 3432674336639. The next prime is 3432674336653. The reversal of 3432674336640 is 466334762343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15038002 + ... + 15264561.

It is an arithmetic number, because the mean of its divisors is an integer number (86930480475).

Almost surely, 2^{3432674336640} is an apocalyptic number.

3432674336640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3432674336640 is an abundant number, since it is smaller than the sum of its proper divisors (7694427164160).

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

3432674336640 is a wasteful number, since it uses less digits than its factorization.

3432674336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30302644 (or 30302632 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 51.

The spelling of 3432674336640 in words is "three trillion, four hundred thirty-two billion, six hundred seventy-four million, three hundred thirty-six thousand, six hundred forty".