34625164214100 has 576 divisors, whose sum is σ = 111108266393600. Its totient is φ = 8291844288000.

The previous prime is 34625164214057. The next prime is 34625164214141. The reversal of 34625164214100 is 141246152643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1772821335 + ... + 1772840865.

Almost surely, 2^{34625164214100} is an apocalyptic number.

34625164214100 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 34625164214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55554133196800).

34625164214100 is an abundant number, since it is smaller than the sum of its proper divisors (76483102179500).

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

34625164214100 is a wasteful number, since it uses less digits than its factorization.

34625164214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19804 (or 19797 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 34625164214100 in words is "thirty-four trillion, six hundred twenty-five billion, one hundred sixty-four million, two hundred fourteen thousand, one hundred".