34621977957840 has 800 divisors, whose sum is σ = 152770791376896. Its totient is φ = 7069212610560.

The previous prime is 34621977957817. The next prime is 34621977957841. The reversal of 34621977957840 is 4875977912643.

34621977957840 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 1 + 9 + 7 + 7 + 9 + 578 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34621977957841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17333094 + ... + 19227066.

It is a 1-persistent number, because it is pandigital, but 2⋅34621977957840 = 69243955915680 is not.

Almost surely, 2^{34621977957840} is an apocalyptic number.

34621977957840 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 34621977957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76385395688448).

34621977957840 is an abundant number, since it is smaller than the sum of its proper divisors (118148813419056).

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

34621977957840 is a wasteful number, since it uses less digits than its factorization.

34621977957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894049 (or 1894034 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 34621977957840 in words is "thirty-four trillion, six hundred twenty-one billion, nine hundred seventy-seven million, nine hundred fifty-seven thousand, eight hundred forty".