3975410016 has 432 divisors, whose sum is σ = 13094630640. Its totient is φ = 1184440320.

The previous prime is 3975410009. The next prime is 3975410027. The reversal of 3975410016 is 6100145793.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65170626 + ... + 65170686.

It is an arithmetic number, because the mean of its divisors is an integer number (30311645).

Almost surely, 2^3975410016 is an apocalyptic number.

3975410016 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 3975410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547315320).

3975410016 is an abundant number, since it is smaller than the sum of its proper divisors (9119220624).

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

3975410016 is a wasteful number, since it uses less digits than its factorization.

3975410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 3975410016 is about 63050.8526191359. The cubic root of 3975410016 is about 1584.1415162820.

It can be divided in two parts, 39754 and 10016, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 3975410016 in words is "three billion, nine hundred seventy-five million, four hundred ten thousand, sixteen".