3654323640 has 256 divisors, whose sum is σ = 13747968000. Its totient is φ = 855267840.

The previous prime is 3654323639. The next prime is 3654323657. The reversal of 3654323640 is 463234563.

3654323640 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 3 + 2 + 3 + 640 = 666.

3654323640 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 = 3654323595 and 3654323604.

It is a congruent number.

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, 339217 + ... + 349823.

It is an arithmetic number, because the mean of its divisors is an integer number (53703000).

Almost surely, 2^3654323640 is an apocalyptic number.

3654323640 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 3654323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

3654323640 is an abundant number, since it is smaller than the sum of its proper divisors (10093644360).

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

3654323640 is a wasteful number, since it uses less digits than its factorization.

3654323640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10657 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3654323640 is about 60451.0019768076. The cubic root of 3654323640 is about 1540.2894323036.

The spelling of 3654323640 in words is "three billion, six hundred fifty-four million, three hundred twenty-three thousand, six hundred forty".