3906735840 has 768 divisors, whose sum is σ = 16826019840. Its totient is φ = 827228160.

The previous prime is 3906735839. The next prime is 3906735851. The reversal of 3906735840 is 485376093.

3906735840 is a `hidden beast` number, since 3 + 9 + 0 + 67 + 3 + 584 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 28516252 + ... + 28516388.

It is an arithmetic number, because the mean of its divisors is an integer number (21908880).

Almost surely, 2^3906735840 is an apocalyptic number.

3906735840 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 3906735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413009920).

3906735840 is an abundant number, since it is smaller than the sum of its proper divisors (12919284000).

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

3906735840 is a wasteful number, since it uses less digits than its factorization.

3906735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3906735840 is about 62503.8865991548. The cubic root of 3906735840 is about 1574.9666024664.

The spelling of 3906735840 in words is "three billion, nine hundred six million, seven hundred thirty-five thousand, eight hundred forty".