34897872522240 has 4224 divisors, whose sum is σ = 168246028339200. Its totient is φ = 6670767882240.

The previous prime is 34897872522239. The next prime is 34897872522353. The reversal of 34897872522240 is 4222527879843.

34897872522240 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 7 + 87 + 2 + 522 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105431638875 + ... + 105431639205.

Almost surely, 2^{34897872522240} is an apocalyptic number.

34897872522240 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 34897872522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84123014169600).

34897872522240 is an abundant number, since it is smaller than the sum of its proper divisors (133348155816960).

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

34897872522240 is a wasteful number, since it uses less digits than its factorization.

34897872522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 34897872522240 in words is "thirty-four trillion, eight hundred ninety-seven billion, eight hundred seventy-two million, five hundred twenty-two thousand, two hundred forty".