34157859840 has 704 divisors, whose sum is σ = 132881414400. Its totient is φ = 8270512128.

The previous prime is 34157859833. The next prime is 34157859847. The reversal of 34157859840 is 4895875143.

34157859840 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 7 + 8 + 598 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (34157859833) and next prime (34157859847).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34157859847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149160846 + ... + 149161074.

Almost surely, 2^34157859840 is an apocalyptic number.

34157859840 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 34157859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66440707200).

34157859840 is an abundant number, since it is smaller than the sum of its proper divisors (98723554560).

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

34157859840 is a wasteful number, since it uses less digits than its factorization.

34157859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 34157859840 in words is "thirty-four billion, one hundred fifty-seven million, eight hundred fifty-nine thousand, eight hundred forty".