34960273920 has 1120 divisors, whose sum is σ = 148775102784. Its totient is φ = 7763558400.

The previous prime is 34960273919. The next prime is 34960274017. The reversal of 34960273920 is 2937206943.

34960273920 is a `hidden beast` number, since 3 + 4 + 9 + 602 + 7 + 39 + 2 + 0 = 666.

It is a super-2 number, since 2×34960273920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 266872255 + ... + 266872385.

Almost surely, 2^34960273920 is an apocalyptic number.

34960273920 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 34960273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74387551392).

34960273920 is an abundant number, since it is smaller than the sum of its proper divisors (113814828864).

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

34960273920 is a wasteful number, since it uses less digits than its factorization.

34960273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 34960273920 in words is "thirty-four billion, nine hundred sixty million, two hundred seventy-three thousand, nine hundred twenty".