2978434368 has 672 divisors, whose sum is σ = 11423416320. Its totient is φ = 744007680.

The previous prime is 2978434363. The next prime is 2978434397. The reversal of 2978434368 is 8634348792.

2978434368 is a `hidden beast` number, since 297 + 8 + 4 + 343 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978434363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63370921 + ... + 63370967.

Almost surely, 2^2978434368 is an apocalyptic number.

2978434368 is a gapful number since it is divisible by the number (28) 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 2978434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711708160).

2978434368 is an abundant number, since it is smaller than the sum of its proper divisors (8444981952).

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

2978434368 is a wasteful number, since it uses less digits than its factorization.

2978434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2978434368 is about 54575.0342922476. The cubic root of 2978434368 is about 1438.7853646359.

The spelling of 2978434368 in words is "two billion, nine hundred seventy-eight million, four hundred thirty-four thousand, three hundred sixty-eight".