34051479840 has 1080 divisors, whose sum is σ = 148055278140. Its totient is φ = 7340046336.

The previous prime is 34051479827. The next prime is 34051479857. The reversal of 34051479840 is 4897415043.

34051479840 is a `hidden beast` number, since 3 + 4 + 0 + 514 + 7 + 98 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33934060944 + 117418896 = 184212^2 + 10836^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 791894859 + ... + 791894901.

Almost surely, 2^34051479840 is an apocalyptic number.

34051479840 is a gapful number since it is divisible by the number (30) 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 34051479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027639070).

34051479840 is an abundant number, since it is smaller than the sum of its proper divisors (114003798300).

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

34051479840 is a wasteful number, since it uses less digits than its factorization.

34051479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34051479840 in words is "thirty-four billion, fifty-one million, four hundred seventy-nine thousand, eight hundred forty".