34978656000 has 288 divisors, whose sum is σ = 123021557568. Its totient is φ = 8778547200.

The previous prime is 34978655947. The next prime is 34978656029. The reversal of 34978656000 is 65687943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621284 + ... + 1642716.

It is an arithmetic number, because the mean of its divisors is an integer number (427158186).

Almost surely, 2^34978656000 is an apocalyptic number.

34978656000 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 34978656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61510778784).

34978656000 is an abundant number, since it is smaller than the sum of its proper divisors (88042901568).

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

34978656000 is a wasteful number, since it uses less digits than its factorization.

34978656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21484 (or 21460 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 34978656000 in words is "thirty-four billion, nine hundred seventy-eight million, six hundred fifty-six thousand".