34378286177664 has 1920 divisors, whose sum is σ = 124220437941600. Its totient is φ = 9372884336640.

The previous prime is 34378286177629. The next prime is 34378286177687. The reversal of 34378286177664 is 46677168287343.

34378286177664 is a `hidden beast` number, since 3 + 4 + 378 + 2 + 86 + 177 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1365590016) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 34378286177592 and 34378286177601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 147546292492 + ... + 147546292724.

Almost surely, 2^{34378286177664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34378286177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62110218970800).

34378286177664 is an abundant number, since it is smaller than the sum of its proper divisors (89842151763936).

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

34378286177664 is a wasteful number, since it uses less digits than its factorization.

34378286177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 454 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 34378286177664 in words is "thirty-four trillion, three hundred seventy-eight billion, two hundred eighty-six million, one hundred seventy-seven thousand, six hundred sixty-four".