3919545949440 has 576 divisors, whose sum is σ = 14266159810560. Its totient is φ = 907836948480.

The previous prime is 3919545949391. The next prime is 3919545949489. The reversal of 3919545949440 is 449495459193.

It is an interprime number because it is at equal distance from previous prime (3919545949391) and next prime (3919545949489).

It is a super-2 number, since 2×3919545949440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129876026 + ... + 1129879494.

It is an arithmetic number, because the mean of its divisors is an integer number (24767638560).

Almost surely, 2^{3919545949440} is an apocalyptic number.

3919545949440 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 3919545949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133079905280).

3919545949440 is an abundant number, since it is smaller than the sum of its proper divisors (10346613861120).

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

3919545949440 is a wasteful number, since it uses less digits than its factorization.

3919545949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 66.

The spelling of 3919545949440 in words is "three trillion, nine hundred nineteen billion, five hundred forty-five million, nine hundred forty-nine thousand, four hundred forty".