3897815040 has 832 divisors, whose sum is σ = 16984857600. Its totient is φ = 828112896.

The previous prime is 3897815017. The next prime is 3897815081. The reversal of 3897815040 is 405187983.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73543654 + ... + 73543706.

Almost surely, 2^3897815040 is an apocalyptic number.

3897815040 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 3897815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492428800).

3897815040 is an abundant number, since it is smaller than the sum of its proper divisors (13087042560).

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

3897815040 is a wasteful number, since it uses less digits than its factorization.

3897815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3897815040 is about 62432.4838525587. The cubic root of 3897815040 is about 1573.7669078607.

The spelling of 3897815040 in words is "three billion, eight hundred ninety-seven million, eight hundred fifteen thousand, forty".