3648970080 has 384 divisors, whose sum is σ = 14821954560. Its totient is φ = 821145600.

The previous prime is 3648970069. The next prime is 3648970141. The reversal of 3648970080 is 800798463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025180 + ... + 2026980.

It is an arithmetic number, because the mean of its divisors is an integer number (38598840).

Almost surely, 2^3648970080 is an apocalyptic number.

3648970080 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 3648970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410977280).

3648970080 is an abundant number, since it is smaller than the sum of its proper divisors (11172984480).

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

3648970080 is a wasteful number, since it uses less digits than its factorization.

3648970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3648970080 is about 60406.7055880388. The cubic root of 3648970080 is about 1539.5368934135.

The spelling of 3648970080 in words is "three billion, six hundred forty-eight million, nine hundred seventy thousand, eighty".