3675016396800 has 2280 divisors, whose sum is σ = 16613841336576. Its totient is φ = 784796221440.

The previous prime is 3675016396759. The next prime is 3675016396957. The reversal of 3675016396800 is 86936105763.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85465497579 + ... + 85465497621.

Almost surely, 2^{3675016396800} is an apocalyptic number.

3675016396800 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 3675016396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306920668288).

3675016396800 is an abundant number, since it is smaller than the sum of its proper divisors (12938824939776).

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

3675016396800 is an frugal number, since it uses more digits than its factorization.

3675016396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3675016396800 in words is "three trillion, six hundred seventy-five billion, sixteen million, three hundred ninety-six thousand, eight hundred".