34119101952 has 480 divisors, whose sum is σ = 115345950720. Its totient is φ = 9614868480.

The previous prime is 34119101903. The next prime is 34119101957. The reversal of 34119101952 is 25910191143.

It is a super-2 number, since 2×34119101952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34119101957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35282973 + ... + 35283939.

It is an arithmetic number, because the mean of its divisors is an integer number (240304064).

Almost surely, 2^34119101952 is an apocalyptic number.

34119101952 is a gapful number since it is divisible by the number (32) 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 34119101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57672975360).

34119101952 is an abundant number, since it is smaller than the sum of its proper divisors (81226848768).

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

34119101952 is a wasteful number, since it uses less digits than its factorization.

34119101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 34119101952 in words is "thirty-four billion, one hundred nineteen million, one hundred one thousand, nine hundred fifty-two".