34757457897645 has 48 divisors (see below), whose sum is σ = 69626496775680. Its totient is φ = 15710594118912.

The previous prime is 34757457897619. The next prime is 34757457897671. The reversal of 34757457897645 is 54679875475743.

34757457897645 is a `hidden beast` number, since 3 + 4 + 7 + 57 + 457 + 8 + 9 + 76 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (34757457897619) and next prime (34757457897671).

It is not a de Polignac number, because 34757457897645 - 2¹⁶ = 34757457832109 is a prime.

It is a super-3 number, since 3×34757457897645³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619865989 + ... + 619922058.

It is an arithmetic number, because the mean of its divisors is an integer number (1450552016160).

Almost surely, 2^{34757457897645} is an apocalyptic number.

34757457897645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34757457897645 is an abundant number, since it is smaller than the sum of its proper divisors (34869038878035).

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

34757457897645 is a wasteful number, since it uses less digits than its factorization.

34757457897645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239788154 (or 1239788151 counting only the distinct ones).

The product of its digits is 24893568000, while the sum is 81.

The spelling of 34757457897645 in words is "thirty-four trillion, seven hundred fifty-seven billion, four hundred fifty-seven million, eight hundred ninety-seven thousand, six hundred forty-five".