3874548263040 has 2048 divisors, whose sum is σ = 17733264998400. Its totient is φ = 777550233600.

The previous prime is 3874548263039. The next prime is 3874548263041. The reversal of 3874548263040 is 403628454783.

3874548263040 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 548 + 26 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3874548263039) and next prime (3874548263041).

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

It is not an unprimeable number, because it can be changed into a prime (3874548263041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2973559029 + ... + 2973560331.

It is an arithmetic number, because the mean of its divisors is an integer number (8658820800).

Almost surely, 2^{3874548263040} is an apocalyptic number.

3874548263040 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 3874548263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866632499200).

3874548263040 is an abundant number, since it is smaller than the sum of its proper divisors (13858716735360).

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

3874548263040 is a wasteful number, since it uses less digits than its factorization.

3874548263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3874548263040 in words is "three trillion, eight hundred seventy-four billion, five hundred forty-eight million, two hundred sixty-three thousand, forty".