3698736480 has 384 divisors, whose sum is σ = 13586227200. Its totient is φ = 938649600.

The previous prime is 3698736469. The next prime is 3698736497. The reversal of 3698736480 is 846378963.

3698736480 is a `hidden beast` number, since 3 + 6 + 98 + 73 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9508126 + ... + 9508514.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^3698736480 is an apocalyptic number.

3698736480 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 3698736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3698736480 is an abundant number, since it is smaller than the sum of its proper divisors (9887490720).

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

3698736480 is a wasteful number, since it uses less digits than its factorization.

3698736480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3698736480 is about 60817.2383457191. The cubic root of 3698736480 is about 1546.5042941249.

The spelling of 3698736480 in words is "three billion, six hundred ninety-eight million, seven hundred thirty-six thousand, four hundred eighty".