3814976880 has 800 divisors, whose sum is σ = 16333954560. Its totient is φ = 812021760.

The previous prime is 3814976873. The next prime is 3814976881. The reversal of 3814976880 is 886794183.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814976881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21312631 + ... + 21312809.

Almost surely, 2^3814976880 is an apocalyptic number.

3814976880 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 3814976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166977280).

3814976880 is an abundant number, since it is smaller than the sum of its proper divisors (12518977680).

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

3814976880 is a wasteful number, since it uses less digits than its factorization.

3814976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3814976880 is about 61765.4991075115. The cubic root of 3814976880 is about 1562.5381757499.

The spelling of 3814976880 in words is "three billion, eight hundred fourteen million, nine hundred seventy-six thousand, eight hundred eighty".