3779396515440 has 640 divisors, whose sum is σ = 16219928524800. Its totient is φ = 797407773696.

The previous prime is 3779396515429. The next prime is 3779396515441. The reversal of 3779396515440 is 445156939773.

It is a happy number.

3779396515440 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 39 + 6 + 51 + 544 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779396515441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15802671 + ... + 16040049.

It is an arithmetic number, because the mean of its divisors is an integer number (25343638320).

Almost surely, 2^{3779396515440} is an apocalyptic number.

3779396515440 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 3779396515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109964262400).

3779396515440 is an abundant number, since it is smaller than the sum of its proper divisors (12440532009360).

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

3779396515440 is a wasteful number, since it uses less digits than its factorization.

3779396515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237433 (or 237409 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 3779396515440 in words is "three trillion, seven hundred seventy-nine billion, three hundred ninety-six million, five hundred fifteen thousand, four hundred forty".