34739906376 has 256 divisors, whose sum is σ = 105902899200. Its totient is φ = 9282873600.

The previous prime is 34739906363. The next prime is 34739906389. The reversal of 34739906376 is 67360993743.

It is an interprime number because it is at equal distance from previous prime (34739906363) and next prime (34739906389).

It is a super-2 number, since 2×34739906376² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38133361 + ... + 38134271.

It is an arithmetic number, because the mean of its divisors is an integer number (413683200).

Almost surely, 2^34739906376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34739906376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52951449600).

34739906376 is an abundant number, since it is smaller than the sum of its proper divisors (71162992824).

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

34739906376 is a wasteful number, since it uses less digits than its factorization.

34739906376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 57.

The spelling of 34739906376 in words is "thirty-four billion, seven hundred thirty-nine million, nine hundred six thousand, three hundred seventy-six".