3801038192640 has 1440 divisors, whose sum is σ = 15602368181400. Its totient is φ = 880602513408.

The previous prime is 3801038192573. The next prime is 3801038192647. The reversal of 3801038192640 is 462918301083.

3801038192640 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 0 + 381 + 9 + 264 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2891196923904 + 909841268736 = 1700352^2 + 953856^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3801038192647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223590481912 + ... + 223590481928.

Almost surely, 2^{3801038192640} is an apocalyptic number.

3801038192640 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 3801038192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801184090700).

3801038192640 is an abundant number, since it is smaller than the sum of its proper divisors (11801329988760).

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

3801038192640 is an frugal number, since it uses more digits than its factorization.

3801038192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3801038192640 in words is "three trillion, eight hundred one billion, thirty-eight million, one hundred ninety-two thousand, six hundred forty".