34054157640600 has 192 divisors, whose sum is σ = 117340971840000. Its totient is φ = 9077755075200.

The previous prime is 34054157640553. The next prime is 34054157640623. The reversal of 34054157640600 is 604675145043.

34054157640600 is a `hidden beast` number, since 3 + 4 + 0 + 541 + 5 + 7 + 6 + 40 + 60 + 0 = 666.

It is a super-2 number, since 2×34054157640600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13476301 + ... + 15802499.

It is an arithmetic number, because the mean of its divisors is an integer number (611150895000).

Almost surely, 2^{34054157640600} is an apocalyptic number.

34054157640600 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 34054157640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58670485920000).

34054157640600 is an abundant number, since it is smaller than the sum of its proper divisors (83286814199400).

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

34054157640600 is a wasteful number, since it uses less digits than its factorization.

34054157640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328935 (or 2328920 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34054157640600 in words is "thirty-four trillion, fifty-four billion, one hundred fifty-seven million, six hundred forty thousand, six hundred".