34139818440 has 576 divisors, whose sum is σ = 142443100800. Its totient is φ = 7200700416.

The previous prime is 34139818439. The next prime is 34139818501. The reversal of 34139818440 is 4481893143.

34139818440 is a `hidden beast` number, since 3 + 41 + 398 + 184 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11497276 + ... + 11500244.

It is an arithmetic number, because the mean of its divisors is an integer number (247297050).

Almost surely, 2^34139818440 is an apocalyptic number.

34139818440 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 34139818440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71221550400).

34139818440 is an abundant number, since it is smaller than the sum of its proper divisors (108303282360).

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

34139818440 is a wasteful number, since it uses less digits than its factorization.

34139818440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34139818440 in words is "thirty-four billion, one hundred thirty-nine million, eight hundred eighteen thousand, four hundred forty".