3648145920 has 320 divisors, whose sum is σ = 12822036480. Its totient is φ = 880754688.

The previous prime is 3648145841. The next prime is 3648145933. The reversal of 3648145920 is 295418463.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3648145920² = 26617937307225292800, which contains 22 as substring.

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, 3355617 + ... + 3356703.

It is an arithmetic number, because the mean of its divisors is an integer number (40068864).

Almost surely, 2^3648145920 is an apocalyptic number.

3648145920 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 3648145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411018240).

3648145920 is an abundant number, since it is smaller than the sum of its proper divisors (9173890560).

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

3648145920 is a wasteful number, since it uses less digits than its factorization.

3648145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3648145920 is about 60399.8834435961. The cubic root of 3648145920 is about 1539.4209775764.

The spelling of 3648145920 in words is "three billion, six hundred forty-eight million, one hundred forty-five thousand, nine hundred twenty".