3648478800 has 240 divisors, whose sum is σ = 13027469760. Its totient is φ = 867409920.

The previous prime is 3648478793. The next prime is 3648478807. The reversal of 3648478800 is 88748463.

It is an interprime number because it is at equal distance from previous prime (3648478793) and next prime (3648478807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3648478800² = 26622795108098880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3648478800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648478807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382894 + ... + 392306.

It is an arithmetic number, because the mean of its divisors is an integer number (54281124).

Almost surely, 2^3648478800 is an apocalyptic number.

3648478800 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 3648478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513734880).

3648478800 is an abundant number, since it is smaller than the sum of its proper divisors (9378990960).

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

3648478800 is a wasteful number, since it uses less digits than its factorization.

3648478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 3648478800 is about 60402.6390151954. The cubic root of 3648478800 is about 1539.4677983342.

The spelling of 3648478800 in words is "three billion, six hundred forty-eight million, four hundred seventy-eight thousand, eight hundred".