3680570400 has 432 divisors, whose sum is σ = 13547632896. Its totient is φ = 862709760.

The previous prime is 3680570393. The next prime is 3680570407. The reversal of 3680570400 is 40750863.

It is an interprime number because it is at equal distance from previous prime (3680570393) and next prime (3680570407).

It is not an unprimeable number, because it can be changed into a prime (3680570407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16504689 + ... + 16504911.

Almost surely, 2^3680570400 is an apocalyptic number.

3680570400 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 3680570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773816448).

3680570400 is an abundant number, since it is smaller than the sum of its proper divisors (9867062496).

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

3680570400 is a wasteful number, since it uses less digits than its factorization.

3680570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3680570400 is about 60667.7047530233. The cubic root of 3680570400 is about 1543.9682893252.

The spelling of 3680570400 in words is "three billion, six hundred eighty million, five hundred seventy thousand, four hundred".