3690484200 has 192 divisors, whose sum is σ = 13689748800. Its totient is φ = 908409600.

The previous prime is 3690484199. The next prime is 3690484261. The reversal of 3690484200 is 24840963.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43915 + ... + 96485.

It is an arithmetic number, because the mean of its divisors is an integer number (71300775).

Almost surely, 2^3690484200 is an apocalyptic number.

3690484200 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 3690484200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844874400).

3690484200 is an abundant number, since it is smaller than the sum of its proper divisors (9999264600).

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

3690484200 is a wasteful number, since it uses less digits than its factorization.

3690484200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52609 (or 52594 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3690484200 is about 60749.3555521373. The cubic root of 3690484200 is about 1545.3532984107.

It can be divided in two parts, 369048 and 4200, that added together give a cube (373248 = 72³).

The spelling of 3690484200 in words is "three billion, six hundred ninety million, four hundred eighty-four thousand, two hundred".