3653468160 has 128 divisors (see below), whose sum is σ = 11692492560. Its totient is φ = 974127104.

The previous prime is 3653468107. The next prime is 3653468183. The reversal of 3653468160 is 618643563.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3653468160² = 26695659192267571200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487804 + ... + 495236.

Almost surely, 2^3653468160 is an apocalyptic number.

3653468160 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 3653468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846246280).

3653468160 is an abundant number, since it is smaller than the sum of its proper divisors (8039024400).

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

3653468160 is an frugal number, since it uses more digits than its factorization.

3653468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3653468160 is about 60443.9257494084. The cubic root of 3653468160 is about 1540.1692286060.

The spelling of 3653468160 in words is "three billion, six hundred fifty-three million, four hundred sixty-eight thousand, one hundred sixty".