3748963834980 has 432 divisors, whose sum is σ = 14255773197120. Its totient is φ = 790451053056.

The previous prime is 3748963834963. The next prime is 3748963834999. The reversal of 3748963834980 is 894383698473.

3748963834980 is a `hidden beast` number, since 3 + 7 + 48 + 96 + 3 + 8 + 3 + 498 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3748963834899 and 3748963834908.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181037787 + ... + 181058493.

Almost surely, 2^{3748963834980} is an apocalyptic number.

3748963834980 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 3748963834980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127886598560).

3748963834980 is an abundant number, since it is smaller than the sum of its proper divisors (10506809362140).

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

3748963834980 is a wasteful number, since it uses less digits than its factorization.

3748963834980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22328 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 3748963834980 in words is "three trillion, seven hundred forty-eight billion, nine hundred sixty-three million, eight hundred thirty-four thousand, nine hundred eighty".