3698472960 has 960 divisors, whose sum is σ = 16648632000. Its totient is φ = 780337152.

The previous prime is 3698472959. The next prime is 3698472989. The reversal of 3698472960 is 692748963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 3698472897 and 3698472906.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2184 × 840 × 2016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284497914 + ... + 284497926.

It is an arithmetic number, because the mean of its divisors is an integer number (17342325).

Almost surely, 2^3698472960 is an apocalyptic number.

3698472960 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 3698472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324316000).

3698472960 is an abundant number, since it is smaller than the sum of its proper divisors (12950159040).

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

3698472960 is an equidigital number, since it uses as much as digits as its factorization.

3698472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3698472960 is about 60815.0718161214. The cubic root of 3698472960 is about 1546.4675658627.

The spelling of 3698472960 in words is "three billion, six hundred ninety-eight million, four hundred seventy-two thousand, nine hundred sixty".