34049922816 has 576 divisors, whose sum is σ = 116386995200. Its totient is φ = 8778792960.

The previous prime is 34049922763. The next prime is 34049922869. The reversal of 34049922816 is 61822994043.

It is an interprime number because it is at equal distance from previous prime (34049922763) and next prime (34049922869).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 208895151 + ... + 208895313.

Almost surely, 2^34049922816 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 34049922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58193497600).

34049922816 is an abundant number, since it is smaller than the sum of its proper divisors (82337072384).

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

34049922816 is a wasteful number, since it uses less digits than its factorization.

34049922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 34049922816 in words is "thirty-four billion, forty-nine million, nine hundred twenty-two thousand, eight hundred sixteen".