3671654400 has 408 divisors, whose sum is σ = 13652355360. Its totient is φ = 967311360.

The previous prime is 3671654387. The next prime is 3671654419. The reversal of 3671654400 is 44561763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236759 + ... + 44236841.

Almost surely, 2^3671654400 is an apocalyptic number.

3671654400 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 3671654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826177680).

3671654400 is an abundant number, since it is smaller than the sum of its proper divisors (9980700960).

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

3671654400 is an frugal number, since it uses more digits than its factorization.

3671654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3671654400 is about 60594.1779381485. The cubic root of 3671654400 is about 1542.7205522818.

The spelling of 3671654400 in words is "three billion, six hundred seventy-one million, six hundred fifty-four thousand, four hundred".