3787547090382 has 320 divisors, whose sum is σ = 9696665088000. Its totient is φ = 1094780473920.

The previous prime is 3787547090381. The next prime is 3787547090387. The reversal of 3787547090382 is 2830907457873.

3787547090382 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 547 + 0 + 9 + 0 + 3 + 82 = 666.

It is a super-2 number, since 2×3787547090382² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787547090381) 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, 2229279369 + ... + 2229281067.

It is an arithmetic number, because the mean of its divisors is an integer number (30302078400).

Almost surely, 2^{3787547090382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3787547090382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848332544000).

3787547090382 is an abundant number, since it is smaller than the sum of its proper divisors (5909117997618).

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

3787547090382 is a wasteful number, since it uses less digits than its factorization.

3787547090382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3787547090382 in words is "three trillion, seven hundred eighty-seven billion, five hundred forty-seven million, ninety thousand, three hundred eighty-two".