3653946240 has 512 divisors, whose sum is σ = 14394240000. Its totient is φ = 769720320.

The previous prime is 3653946209. The next prime is 3653946277. The reversal of 3653946240 is 426493563.

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 = 3653946192 and 3653946201.

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, 10469586 + ... + 10469934.

It is an arithmetic number, because the mean of its divisors is an integer number (28113750).

Almost surely, 2^3653946240 is an apocalyptic number.

3653946240 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 3653946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120000).

3653946240 is an abundant number, since it is smaller than the sum of its proper divisors (10740293760).

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

3653946240 is a wasteful number, since it uses less digits than its factorization.

3653946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 3653946240 is about 60447.8803598604. The cubic root of 3653946240 is about 1540.2364060529.

The spelling of 3653946240 in words is "three billion, six hundred fifty-three million, nine hundred forty-six thousand, two hundred forty".