3650927040 has 448 divisors, whose sum is σ = 13647237120. Its totient is φ = 917360640.

The previous prime is 3650926999. The next prime is 3650927047. The reversal of 3650927040 is 407290563.

3650927040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3650926986 and 3650927004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3650927047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11516962 + ... + 11517278.

Almost surely, 2^3650927040 is an apocalyptic number.

3650927040 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 3650927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823618560).

3650927040 is an abundant number, since it is smaller than the sum of its proper divisors (9996310080).

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

3650927040 is a wasteful number, since it uses less digits than its factorization.

3650927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3650927040 is about 60422.9016185089. The cubic root of 3650927040 is about 1539.8120645457.

The spelling of 3650927040 in words is "three billion, six hundred fifty million, nine hundred twenty-seven thousand, forty".