34401026640 has 80 divisors (see below), whose sum is σ = 106689600000. Its totient is φ = 9169614336.

The previous prime is 34401026629. The next prime is 34401026687. The reversal of 34401026640 is 4662010443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34401026598 and 34401026607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543361 + ... + 603359.

It is an arithmetic number, because the mean of its divisors is an integer number (1333620000).

Almost surely, 2^34401026640 is an apocalyptic number.

34401026640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401026640 is an abundant number, since it is smaller than the sum of its proper divisors (72288573360).

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

34401026640 is a wasteful number, since it uses less digits than its factorization.

34401026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62404 (or 62398 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 34401026640 in words is "thirty-four billion, four hundred one million, twenty-six thousand, six hundred forty".