3896180640 has 432 divisors, whose sum is σ = 14901213600. Its totient is φ = 926069760.

The previous prime is 3896180627. The next prime is 3896180669. The reversal of 3896180640 is 460816983.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 10279971 + ... + 10280349.

It is an arithmetic number, because the mean of its divisors is an integer number (34493550).

Almost surely, 2^3896180640 is an apocalyptic number.

3896180640 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 3896180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450606800).

3896180640 is an abundant number, since it is smaller than the sum of its proper divisors (11005032960).

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

3896180640 is a wasteful number, since it uses less digits than its factorization.

3896180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3896180640 is about 62419.3931402733. The cubic root of 3896180640 is about 1573.5469107423.

The spelling of 3896180640 in words is "three billion, eight hundred ninety-six million, one hundred eighty thousand, six hundred forty".