34765124940 has 384 divisors, whose sum is σ = 133501777920. Its totient is φ = 7313918976.

The previous prime is 34765124921. The next prime is 34765124963. The reversal of 34765124940 is 4942156743.

34765124940 is a `hidden beast` number, since 3 + 47 + 6 + 512 + 4 + 94 + 0 = 666.

It is a super-2 number, since 2×34765124940² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21768222 + ... + 21769818.

It is an arithmetic number, because the mean of its divisors is an integer number (347660880).

Almost surely, 2^34765124940 is an apocalyptic number.

34765124940 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 34765124940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66750888960).

34765124940 is an abundant number, since it is smaller than the sum of its proper divisors (98736652980).

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

34765124940 is a wasteful number, since it uses less digits than its factorization.

34765124940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 34765124940 in words is "thirty-four billion, seven hundred sixty-five million, one hundred twenty-four thousand, nine hundred forty".