34949376000 has 1152 divisors, whose sum is σ = 157854977280. Its totient is φ = 7225344000.

The previous prime is 34949375963. The next prime is 34949376151. The reversal of 34949376000 is 67394943.

34949376000 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 9 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 177407902 + ... + 177408098.

It is an arithmetic number, because the mean of its divisors is an integer number (137026890).

Almost surely, 2^34949376000 is an apocalyptic number.

34949376000 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 34949376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78927488640).

34949376000 is an abundant number, since it is smaller than the sum of its proper divisors (122905601280).

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

34949376000 is a wasteful number, since it uses less digits than its factorization.

34949376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 225 counting only the distinct ones).

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

The spelling of 34949376000 in words is "thirty-four billion, nine hundred forty-nine million, three hundred seventy-six thousand".