3682573700 has 288 divisors, whose sum is σ = 9659381760. Its totient is φ = 1206374400.

The previous prime is 3682573667. The next prime is 3682573717. The reversal of 3682573700 is 73752863.

It is a super-2 number, since 2×3682573700² = 27122698111863380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26880032 + ... + 26880168.

It is an arithmetic number, because the mean of its divisors is an integer number (33539520).

Almost surely, 2^3682573700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682573700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829690880).

3682573700 is an abundant number, since it is smaller than the sum of its proper divisors (5976808060).

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

3682573700 is a wasteful number, since it uses less digits than its factorization.

3682573700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 3682573700 is about 60684.2129387866. The cubic root of 3682573700 is about 1544.2483610114.

The spelling of 3682573700 in words is "three billion, six hundred eighty-two million, five hundred seventy-three thousand, seven hundred".