34070641920 has 864 divisors, whose sum is σ = 145886657280. Its totient is φ = 7166361600.

The previous prime is 34070641879. The next prime is 34070641931. The reversal of 34070641920 is 2914607043.

34070641920 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×34070641920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56689620 + ... + 56690220.

Almost surely, 2^34070641920 is an apocalyptic number.

34070641920 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 34070641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72943328640).

34070641920 is an abundant number, since it is smaller than the sum of its proper divisors (111816015360).

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

34070641920 is a wasteful number, since it uses less digits than its factorization.

34070641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 34070641920 in words is "thirty-four billion, seventy million, six hundred forty-one thousand, nine hundred twenty".