34961240160 has 576 divisors, whose sum is σ = 155222645760. Its totient is φ = 6948311040.

The previous prime is 34961240141. The next prime is 34961240161. The reversal of 34961240160 is 6104216943.

34961240160 is a `hidden beast` number, since 3 + 496 + 1 + 2 + 4 + 0 + 160 = 666.

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 (34961240161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2543386 + ... + 2557094.

It is an arithmetic number, because the mean of its divisors is an integer number (269483760).

Almost surely, 2^34961240160 is an apocalyptic number.

34961240160 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 34961240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77611322880).

34961240160 is an abundant number, since it is smaller than the sum of its proper divisors (120261405600).

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

34961240160 is a wasteful number, since it uses less digits than its factorization.

34961240160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34961240160 in words is "thirty-four billion, nine hundred sixty-one million, two hundred forty thousand, one hundred sixty".