3694100040 has 256 divisors, whose sum is σ = 12908160000. Its totient is φ = 938456064.

The previous prime is 3694099987. The next prime is 3694100077. The reversal of 3694100040 is 400014963.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3694099977 and 3694100013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2473534 + ... + 2475026.

It is an arithmetic number, because the mean of its divisors is an integer number (50422500).

Almost surely, 2^3694100040 is an apocalyptic number.

3694100040 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 3694100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454080000).

3694100040 is an abundant number, since it is smaller than the sum of its proper divisors (9214059960).

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

3694100040 is a wasteful number, since it uses less digits than its factorization.

3694100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3694100040 is about 60779.1085818145. The cubic root of 3694100040 is about 1545.8578325991.

The spelling of 3694100040 in words is "three billion, six hundred ninety-four million, one hundred thousand, forty".