3794978880 has 672 divisors, whose sum is σ = 16527962880. Its totient is φ = 776355840.

The previous prime is 3794978849. The next prime is 3794978881. The reversal of 3794978880 is 888794973.

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 (63).

It is not an unprimeable number, because it can be changed into a prime (3794978881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24171762 + ... + 24171918.

Almost surely, 2^3794978880 is an apocalyptic number.

3794978880 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 3794978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263981440).

3794978880 is an abundant number, since it is smaller than the sum of its proper divisors (12732984000).

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

3794978880 is a wasteful number, since it uses less digits than its factorization.

3794978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The square root of 3794978880 is about 61603.3999061740. The cubic root of 3794978880 is about 1559.8031309751.

The spelling of 3794978880 in words is "three billion, seven hundred ninety-four million, nine hundred seventy-eight thousand, eight hundred eighty".