3746233140000 has 720 divisors, whose sum is σ = 13632425652384. Its totient is φ = 899558400000.

The previous prime is 3746233139993. The next prime is 3746233140007. The reversal of 3746233140000 is 413326473.

It is an interprime number because it is at equal distance from previous prime (3746233139993) and next prime (3746233140007).

It is not an unprimeable number, because it can be changed into a prime (3746233140007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 415735495 + ... + 415744505.

Almost surely, 2^{3746233140000} is an apocalyptic number.

3746233140000 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 3746233140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816212826192).

3746233140000 is an abundant number, since it is smaller than the sum of its proper divisors (9886192512384).

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

3746233140000 is a wasteful number, since it uses less digits than its factorization.

3746233140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 3746233140000 its reverse (413326473), we get a palindrome (3746646466473).

The spelling of 3746233140000 in words is "three trillion, seven hundred forty-six billion, two hundred thirty-three million, one hundred forty thousand".