34975067452416 has 3168 divisors, whose sum is σ = 141574004812800. Its totient is φ = 8435444613120.

The previous prime is 34975067452379. The next prime is 34975067452441. The reversal of 34975067452416 is 61425476057943.

34975067452416 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 506 + 74 + 52 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 744150371305 + ... + 744150371351.

Almost surely, 2^{34975067452416} is an apocalyptic number.

34975067452416 is a gapful number since it is divisible by the number (36) 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 34975067452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70787002406400).

34975067452416 is an abundant number, since it is smaller than the sum of its proper divisors (106598937360384).

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

34975067452416 is a wasteful number, since it uses less digits than its factorization.

34975067452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 34975067452416 in words is "thirty-four trillion, nine hundred seventy-five billion, sixty-seven million, four hundred fifty-two thousand, four hundred sixteen".