34942787904 has 224 divisors, whose sum is σ = 103161876480. Its totient is φ = 10381713408.

The previous prime is 34942787903. The next prime is 34942787911. The reversal of 34942787904 is 40978724943.

It is a super-3 number, since 3×34942787904³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34942787903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7730157 + ... + 7734675.

Almost surely, 2^34942787904 is an apocalyptic number.

34942787904 is a gapful number since it is divisible by the number (34) 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 34942787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51580938240).

34942787904 is an abundant number, since it is smaller than the sum of its proper divisors (68219088576).

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

34942787904 is a wasteful number, since it uses less digits than its factorization.

34942787904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 34942787904 in words is "thirty-four billion, nine hundred forty-two million, seven hundred eighty-seven thousand, nine hundred four".