34920882865440 has 2304 divisors, whose sum is σ = 151820994124800. Its totient is φ = 7179101798400.

The previous prime is 34920882865409. The next prime is 34920882865441. The reversal of 34920882865440 is 4456828802943.

34920882865440 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 0 + 8 + 8 + 2 + 86 + 544 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34920882865441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27091452316 + ... + 27091453604.

It is an arithmetic number, because the mean of its divisors is an integer number (65894528700).

Almost surely, 2^{34920882865440} is an apocalyptic number.

34920882865440 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 34920882865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75910497062400).

34920882865440 is an abundant number, since it is smaller than the sum of its proper divisors (116900111259360).

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

34920882865440 is a wasteful number, since it uses less digits than its factorization.

34920882865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 34920882865440 in words is "thirty-four trillion, nine hundred twenty billion, eight hundred eighty-two million, eight hundred sixty-five thousand, four hundred forty".