3902481720900 has 729 divisors, whose sum is σ = 14911207979031. Its totient is φ = 851127298560.

The previous prime is 3902481720889. The next prime is 3902481720901. The reversal of 3902481720900 is 90271842093.

The square root of 3902481720900 is 1975470.

It is a perfect power (a square), and thus also a powerful number.

3902481720900 is a `hidden beast` number, since 390 + 2 + 4 + 8 + 172 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 448147235844 + 3454334485056 = 669438^2 + 1858584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3902481720901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9541519896 + ... + 9541520304.

Almost surely, 2^{3902481720900} is an apocalyptic number.

3902481720900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3902481720900 is the 1975470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3902481720900

3902481720900 is an abundant number, since it is smaller than the sum of its proper divisors (11008726258131).

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

3902481720900 is a wasteful number, since it uses less digits than its factorization.

3902481720900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3902481720900 in words is "three trillion, nine hundred two billion, four hundred eighty-one million, seven hundred twenty thousand, nine hundred".