34745760000 has 900 divisors, whose sum is σ = 148346913792. Its totient is φ = 7921152000.

The previous prime is 34745759987. The next prime is 34745760019. The reversal of 34745760000 is 6754743.

34745760000 is a `hidden beast` number, since 3 + 4 + 7 + 45 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 90719809 + ... + 90720191.

Almost surely, 2^34745760000 is an apocalyptic number.

34745760000 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 34745760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173456896).

34745760000 is an abundant number, since it is smaller than the sum of its proper divisors (113601153792).

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

34745760000 is an frugal number, since it uses more digits than its factorization.

34745760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 400 counting only the distinct ones).

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

The spelling of 34745760000 in words is "thirty-four billion, seven hundred forty-five million, seven hundred sixty thousand".