3671400800 has 72 divisors (see below), whose sum is σ = 8971441416. Its totient is φ = 1467146240.

The previous prime is 3671400793. The next prime is 3671400823. The reversal of 3671400800 is 80041763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332224 + ... + 1334976.

It is an arithmetic number, because the mean of its divisors is an integer number (124603353).

Almost surely, 2^3671400800 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 3671400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485720708).

3671400800 is an abundant number, since it is smaller than the sum of its proper divisors (5300040616).

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

3671400800 is a wasteful number, since it uses less digits than its factorization.

3671400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3671400800 is about 60592.0852917277. The cubic root of 3671400800 is about 1542.6850330583.

The spelling of 3671400800 in words is "three billion, six hundred seventy-one million, four hundred thousand, eight hundred".