34378552746720 has 2880 divisors, whose sum is σ = 159371237684736. Its totient is φ = 6904520663040.

The previous prime is 34378552746631. The next prime is 34378552746731. The reversal of 34378552746720 is 2764725587343.

34378552746720 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 8 + 552 + 7 + 4 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62849273487 + ... + 62849274033.

Almost surely, 2^{34378552746720} is an apocalyptic number.

34378552746720 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 34378552746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79685618842368).

34378552746720 is an abundant number, since it is smaller than the sum of its proper divisors (124992684938016).

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

34378552746720 is a wasteful number, since it uses less digits than its factorization.

34378552746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 34378552746720 in words is "thirty-four trillion, three hundred seventy-eight billion, five hundred fifty-two million, seven hundred forty-six thousand, seven hundred twenty".