3773978496 has 96 divisors (see below), whose sum is σ = 11125033920. Its totient is φ = 1227294720.

The previous prime is 3773978459. The next prime is 3773978497. The reversal of 3773978496 is 6948793773.

3773978496 is a `hidden beast` number, since 3 + 7 + 73 + 9 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3773978497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7281 + ... + 87183.

It is an arithmetic number, because the mean of its divisors is an integer number (115885770).

Almost surely, 2^3773978496 is an apocalyptic number.

3773978496 is a gapful number since it is divisible by the number (36) 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 3773978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562516960).

3773978496 is an abundant number, since it is smaller than the sum of its proper divisors (7351055424).

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

3773978496 is a wasteful number, since it uses less digits than its factorization.

3773978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79964 (or 79949 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 3773978496 is about 61432.7151931282. The cubic root of 3773978496 is about 1556.9206315820.

The spelling of 3773978496 in words is "three billion, seven hundred seventy-three million, nine hundred seventy-eight thousand, four hundred ninety-six".