3653125440 has 224 divisors, whose sum is σ = 12541422720. Its totient is φ = 897785856.

The previous prime is 3653125429. The next prime is 3653125457. The reversal of 3653125440 is 445213563.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672174 + ... + 677586.

Almost surely, 2^3653125440 is an apocalyptic number.

3653125440 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 3653125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270711360).

3653125440 is an abundant number, since it is smaller than the sum of its proper divisors (8888297280).

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

3653125440 is a wasteful number, since it uses less digits than its factorization.

3653125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3653125440 is about 60441.0906585909. The cubic root of 3653125440 is about 1540.1210676732.

The spelling of 3653125440 in words is "three billion, six hundred fifty-three million, one hundred twenty-five thousand, four hundred forty".