3875290298880 has 3840 divisors, whose sum is σ = 18417573199872. Its totient is φ = 681246720000.

The previous prime is 3875290298863. The next prime is 3875290298881. The reversal of 3875290298880 is 888920925783.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (3875290298881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38369210830 + ... + 38369210930.

Almost surely, 2^{3875290298880} is an apocalyptic number.

3875290298880 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 3875290298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208786599936).

3875290298880 is an abundant number, since it is smaller than the sum of its proper divisors (14542282900992).

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

3875290298880 is a wasteful number, since it uses less digits than its factorization.

3875290298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 3875290298880 in words is "three trillion, eight hundred seventy-five billion, two hundred ninety million, two hundred ninety-eight thousand, eight hundred eighty".