3726027465000 has 640 divisors, whose sum is σ = 12261135680640. Its totient is φ = 942230016000.

The previous prime is 3726027464993. The next prime is 3726027465001. The reversal of 3726027465000 is 5647206273.

It is not an unprimeable number, because it can be changed into a prime (3726027465001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5794754679 + ... + 5794755321.

It is an arithmetic number, because the mean of its divisors is an integer number (19158024501).

Almost surely, 2^{3726027465000} is an apocalyptic number.

3726027465000 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 3726027465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130567840320).

3726027465000 is an abundant number, since it is smaller than the sum of its proper divisors (8535108215640).

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

3726027465000 is a wasteful number, since it uses less digits than its factorization.

3726027465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 3726027465000 in words is "three trillion, seven hundred twenty-six billion, twenty-seven million, four hundred sixty-five thousand".