34957440000 has 1320 divisors, whose sum is σ = 157056975680. Its totient is φ = 7520256000.

The previous prime is 34957439977. The next prime is 34957440041. The reversal of 34957440000 is 4475943.

34957440000 is a `hidden beast` number, since 3 + 49 + 574 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×34957440000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2056319992 + ... + 2056320008.

Almost surely, 2^34957440000 is an apocalyptic number.

34957440000 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 34957440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78528487840).

34957440000 is an abundant number, since it is smaller than the sum of its proper divisors (122099535680).

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

34957440000 is an equidigital number, since it uses as much as digits as its factorization.

34957440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34957440000 in words is "thirty-four billion, nine hundred fifty-seven million, four hundred forty thousand".