3784613639040 has 1024 divisors, whose sum is σ = 14716670976000. Its totient is φ = 913581047808.

The previous prime is 3784613639011. The next prime is 3784613639063. The reversal of 3784613639040 is 409363164873.

It is a happy number.

3784613639040 is a `hidden beast` number, since 3 + 7 + 84 + 6 + 136 + 390 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2963674882 + ... + 2963676158.

It is an arithmetic number, because the mean of its divisors is an integer number (14371749000).

Almost surely, 2^{3784613639040} is an apocalyptic number.

3784613639040 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 3784613639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358335488000).

3784613639040 is an abundant number, since it is smaller than the sum of its proper divisors (10932057336960).

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

3784613639040 is a wasteful number, since it uses less digits than its factorization.

3784613639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3784613639040 in words is "three trillion, seven hundred eighty-four billion, six hundred thirteen million, six hundred thirty-nine thousand, forty".