3685408740 has 384 divisors, whose sum is σ = 13101580800. Its totient is φ = 853493760.

The previous prime is 3685408709. The next prime is 3685408751. The reversal of 3685408740 is 478045863.

3685408740 is a `hidden beast` number, since 3 + 68 + 540 + 8 + 7 + 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 127 ways as a sum of consecutive naturals, for example, 8753730 + ... + 8754150.

It is an arithmetic number, because the mean of its divisors is an integer number (34118700).

Almost surely, 2^3685408740 is an apocalyptic number.

3685408740 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 3685408740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550790400).

3685408740 is an abundant number, since it is smaller than the sum of its proper divisors (9416172060).

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

3685408740 is a wasteful number, since it uses less digits than its factorization.

3685408740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3685408740 is about 60707.5674030841. The cubic root of 3685408740 is about 1544.6445407158.

The spelling of 3685408740 in words is "three billion, six hundred eighty-five million, four hundred eight thousand, seven hundred forty".