3918977280 has 216 divisors, whose sum is σ = 13688034360. Its totient is φ = 1035141120.

The previous prime is 3918977239. The next prime is 3918977287. The reversal of 3918977280 is 827798193.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 3911751936 = 2688^2 + 62544^2 .

It is not an unprimeable number, because it can be changed into a prime (3918977287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254120 + ... + 1257240.

Almost surely, 2^3918977280 is an apocalyptic number.

3918977280 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 3918977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844017180).

3918977280 is an abundant number, since it is smaller than the sum of its proper divisors (9769057080).

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

3918977280 is a wasteful number, since it uses less digits than its factorization.

3918977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 3918977280 is about 62601.7354392033. The cubic root of 3918977280 is about 1576.6098973333.

The spelling of 3918977280 in words is "three billion, nine hundred eighteen million, nine hundred seventy-seven thousand, two hundred eighty".