3698083200 has 384 divisors, whose sum is σ = 14072670720. Its totient is φ = 836075520.

The previous prime is 3698083189. The next prime is 3698083211. The reversal of 3698083200 is 23808963.

It is an interprime number because it is at equal distance from previous prime (3698083189) and next prime (3698083211).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7593357 + ... + 7593843.

It is an arithmetic number, because the mean of its divisors is an integer number (36647580).

Almost surely, 2^3698083200 is an apocalyptic number.

3698083200 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 3698083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036335360).

3698083200 is an abundant number, since it is smaller than the sum of its proper divisors (10374587520).

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

3698083200 is a wasteful number, since it uses less digits than its factorization.

3698083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3698083200 is about 60811.8672628953. The cubic root of 3698083200 is about 1546.4132396241.

The spelling of 3698083200 in words is "three billion, six hundred ninety-eight million, eighty-three thousand, two hundred".