3135974400000 has 1344 divisors, whose sum is σ = 12542431608000. Its totient is φ = 769720320000.

The previous prime is 3135974399983. The next prime is 3135974400007. The reversal of 3135974400000 is 44795313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135974400007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8985599826 + ... + 8985600174.

It is an arithmetic number, because the mean of its divisors is an integer number (9332166375).

Almost surely, 2^{3135974400000} is an apocalyptic number.

3135974400000 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 3135974400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271215804000).

3135974400000 is an abundant number, since it is smaller than the sum of its proper divisors (9406457208000).

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

3135974400000 is an frugal number, since it uses more digits than its factorization.

3135974400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 3135974400000 in words is "three trillion, one hundred thirty-five billion, nine hundred seventy-four million, four hundred thousand".