3787890266160 has 1600 divisors, whose sum is σ = 18703466901504. Its totient is φ = 683790336000.

The previous prime is 3787890266129. The next prime is 3787890266183. The reversal of 3787890266160 is 616620987873.

3787890266160 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 8 + 9 + 0 + 2 + 6 + 616 + 0 = 666.

It is a super-2 number, since 2×3787890266160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110252985 + ... + 110287335.

Almost surely, 2^{3787890266160} is an apocalyptic number.

3787890266160 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 3787890266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351733450752).

3787890266160 is an abundant number, since it is smaller than the sum of its proper divisors (14915576635344).

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

3787890266160 is a wasteful number, since it uses less digits than its factorization.

3787890266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34424 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3787890266160 in words is "three trillion, seven hundred eighty-seven billion, eight hundred ninety million, two hundred sixty-six thousand, one hundred sixty".