3699407040 has 448 divisors, whose sum is σ = 14255861760. Its totient is φ = 794787840.

The previous prime is 3699407039. The next prime is 3699407071. The reversal of 3699407040 is 407049963.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3699407040² = 27371224895203123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3699406983 and 3699407001.

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, 7989849 + ... + 7990311.

It is an arithmetic number, because the mean of its divisors is an integer number (31821120).

Almost surely, 2^3699407040 is an apocalyptic number.

3699407040 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 3699407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127930880).

3699407040 is an abundant number, since it is smaller than the sum of its proper divisors (10556454720).

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

3699407040 is a wasteful number, since it uses less digits than its factorization.

3699407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3699407040 is about 60822.7510065107. The cubic root of 3699407040 is about 1546.5977459710.

The spelling of 3699407040 in words is "three billion, six hundred ninety-nine million, four hundred seven thousand, forty".