3786158376000 has 3360 divisors, whose sum is σ = 18951715411200. Its totient is φ = 724598784000.

The previous prime is 3786158375957. The next prime is 3786158376001. The reversal of 3786158376000 is 6738516873.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3786158376001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8432423776 + ... + 8432424224.

Almost surely, 2^{3786158376000} is an apocalyptic number.

3786158376000 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 3786158376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475857705600).

3786158376000 is an abundant number, since it is smaller than the sum of its proper divisors (15165557035200).

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

3786158376000 is a wasteful number, since it uses less digits than its factorization.

3786158376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3786158376000 in words is "three trillion, seven hundred eighty-six billion, one hundred fifty-eight million, three hundred seventy-six thousand".