3715113600 has 480 divisors, whose sum is σ = 14967390240. Its totient is φ = 899942400.

The previous prime is 3715113583. The next prime is 3715113629. The reversal of 3715113600 is 63115173.

3715113600 is a `hidden beast` number, since 3 + 7 + 1 + 51 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2850549 + ... + 2851851.

It is an arithmetic number, because the mean of its divisors is an integer number (31182063).

Almost surely, 2^3715113600 is an apocalyptic number.

3715113600 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 3715113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483695120).

3715113600 is an abundant number, since it is smaller than the sum of its proper divisors (11252276640).

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

3715113600 is a wasteful number, since it uses less digits than its factorization.

3715113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3715113600 is about 60951.7317227329. The cubic root of 3715113600 is about 1548.7834505494.

Adding to 3715113600 its reverse (63115173), we get a palindrome (3778228773).

The spelling of 3715113600 in words is "three billion, seven hundred fifteen million, one hundred thirteen thousand, six hundred".