3914846640 has 280 divisors, whose sum is σ = 14369102640. Its totient is φ = 988733952.

The previous prime is 3914846627. The next prime is 3914846671. The reversal of 3914846640 is 466484193.

3914846640 is a `hidden beast` number, since 3 + 9 + 148 + 466 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1106314 + ... + 1109846.

Almost surely, 2^3914846640 is an apocalyptic number.

3914846640 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 3914846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184551320).

3914846640 is an abundant number, since it is smaller than the sum of its proper divisors (10454256000).

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

3914846640 is a wasteful number, since it uses less digits than its factorization.

3914846640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3914846640 is about 62568.7353236423. The cubic root of 3914846640 is about 1576.0557819073.

The spelling of 3914846640 in words is "three billion, nine hundred fourteen million, eight hundred forty-six thousand, six hundred forty".