34791287375040 has 672 divisors, whose sum is σ = 141140958174720. Its totient is φ = 7206193741824.

The previous prime is 34791287375011. The next prime is 34791287375041. The reversal of 34791287375040 is 4057378219743.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (34791287375041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19710244 + ... + 21402716.

It is an arithmetic number, because the mean of its divisors is an integer number (210031187760).

Almost surely, 2^{34791287375040} is an apocalyptic number.

34791287375040 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 34791287375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70570479087360).

34791287375040 is an abundant number, since it is smaller than the sum of its proper divisors (106349670799680).

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

34791287375040 is a wasteful number, since it uses less digits than its factorization.

34791287375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692549 (or 1692532 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 34791287375040 in words is "thirty-four trillion, seven hundred ninety-one billion, two hundred eighty-seven million, three hundred seventy-five thousand, forty".