34352640000 has 1040 divisors, whose sum is σ = 147390819840. Its totient is φ = 7741440000.

The previous prime is 34352639963. The next prime is 34352640001. The reversal of 34352640000 is 4625343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34352640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483839965 + ... + 483840035.

Almost surely, 2^34352640000 is an apocalyptic number.

34352640000 is a gapful number since it is divisible by the number (30) 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 34352640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73695409920).

34352640000 is an abundant number, since it is smaller than the sum of its proper divisors (113038179840).

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

34352640000 is an frugal number, since it uses more digits than its factorization.

34352640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34352640000 in words is "thirty-four billion, three hundred fifty-two million, six hundred forty thousand".