3667473600 has 504 divisors, whose sum is σ = 14477073408. Its totient is φ = 809625600.

The previous prime is 3667473583. The next prime is 3667473673. The reversal of 3667473600 is 63747663.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7290949 + ... + 7291451.

It is an arithmetic number, because the mean of its divisors is an integer number (28724352).

Almost surely, 2^3667473600 is an apocalyptic number.

3667473600 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 3667473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238536704).

3667473600 is an abundant number, since it is smaller than the sum of its proper divisors (10809599808).

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

3667473600 is a wasteful number, since it uses less digits than its factorization.

3667473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 3667473600 is about 60559.6697481088. The cubic root of 3667473600 is about 1542.1347804019.

The spelling of 3667473600 in words is "three billion, six hundred sixty-seven million, four hundred seventy-three thousand, six hundred".