3740162400000 has 1296 divisors, whose sum is σ = 14995612719360. Its totient is φ = 890265600000.

The previous prime is 3740162399993. The next prime is 3740162400019. The reversal of 3740162400000 is 42610473.

3740162400000 is a `hidden beast` number, since 37 + 4 + 0 + 1 + 624 + 0 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2901599356 + ... + 2901600644.

Almost surely, 2^{3740162400000} is an apocalyptic number.

3740162400000 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 3740162400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497806359680).

3740162400000 is an abundant number, since it is smaller than the sum of its proper divisors (11255450319360).

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

3740162400000 is a wasteful number, since it uses less digits than its factorization.

3740162400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 3740162400000 in words is "three trillion, seven hundred forty billion, one hundred sixty-two million, four hundred thousand".