34054151552 has 64 divisors (see below), whose sum is σ = 71675236800. Its totient is φ = 16090066944.

The previous prime is 34054151543. The next prime is 34054151561. The reversal of 34054151552 is 25515145043.

It is an interprime number because it is at equal distance from previous prime (34054151543) and next prime (34054151561).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76868 + ... + 272060.

It is an arithmetic number, because the mean of its divisors is an integer number (1119925575).

Almost surely, 2^34054151552 is an apocalyptic number.

34054151552 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 34054151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35837618400).

34054151552 is an abundant number, since it is smaller than the sum of its proper divisors (37621085248).

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

34054151552 is a wasteful number, since it uses less digits than its factorization.

34054151552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195283 (or 195271 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 34054151552 its reverse (25515145043), we get a palindrome (59569296595).

The spelling of 34054151552 in words is "thirty-four billion, fifty-four million, one hundred fifty-one thousand, five hundred fifty-two".