3981542400 has 396 divisors, whose sum is σ = 15561687024. Its totient is φ = 964608000.

The previous prime is 3981542317. The next prime is 3981542423. The reversal of 3981542400 is 42451893.

3981542400 is a `hidden beast` number, since 39 + 81 + 542 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2533615 + ... + 2535185.

Almost surely, 2^3981542400 is an apocalyptic number.

3981542400 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 3981542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780843512).

3981542400 is an abundant number, since it is smaller than the sum of its proper divisors (11580144624).

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

3981542400 is a wasteful number, since it uses less digits than its factorization.

3981542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3981542400 is about 63099.4643400402. The cubic root of 3981542400 is about 1584.9556522801.

It can be divided in two parts, 39815 and 42400, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 3981542400 in words is "three billion, nine hundred eighty-one million, five hundred forty-two thousand, four hundred".