3896447040 has 336 divisors, whose sum is σ = 14568952320. Its totient is φ = 952197120.

The previous prime is 3896446993. The next prime is 3896447131. The reversal of 3896447040 is 407446983.

3896447040 is a `hidden beast` number, since 3 + 89 + 64 + 470 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1695172 + ... + 1697468.

Almost surely, 2^3896447040 is an apocalyptic number.

3896447040 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 3896447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284476160).

3896447040 is an abundant number, since it is smaller than the sum of its proper divisors (10672505280).

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

3896447040 is a wasteful number, since it uses less digits than its factorization.

3896447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3896447040 is about 62421.5270559765. The cubic root of 3896447040 is about 1573.5827734997.

The spelling of 3896447040 in words is "three billion, eight hundred ninety-six million, four hundred forty-seven thousand, forty".