3746431287000 has 768 divisors, whose sum is σ = 13758535739520. Its totient is φ = 915812352000.

The previous prime is 3746431286999. The next prime is 3746431287037. The reversal of 3746431287000 is 7821346473.

3746431287000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3427658454 + ... + 3427659546.

Almost surely, 2^{3746431287000} is an apocalyptic number.

3746431287000 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 3746431287000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879267869760).

3746431287000 is an abundant number, since it is smaller than the sum of its proper divisors (10012104452520).

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

3746431287000 is a wasteful number, since it uses less digits than its factorization.

3746431287000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3746431287000 in words is "three trillion, seven hundred forty-six billion, four hundred thirty-one million, two hundred eighty-seven thousand".