34760786742 has 128 divisors (see below), whose sum is σ = 88043397120. Its totient is φ = 10062882720.

The previous prime is 34760786741. The next prime is 34760786759. The reversal of 34760786742 is 24768706743.

34760786742 is a `hidden beast` number, since 3 + 476 + 0 + 78 + 67 + 42 = 666.

34760786742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34760786741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19494783 + ... + 19496565.

It is an arithmetic number, because the mean of its divisors is an integer number (687839040).

Almost surely, 2^34760786742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34760786742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44021698560).

34760786742 is an abundant number, since it is smaller than the sum of its proper divisors (53282610378).

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

34760786742 is a wasteful number, since it uses less digits than its factorization.

34760786742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 34760786742 in words is "thirty-four billion, seven hundred sixty million, seven hundred eighty-six thousand, seven hundred forty-two".