3748294636380 has 288 divisors, whose sum is σ = 13048103577600. Its totient is φ = 853197649920.

The previous prime is 3748294636279. The next prime is 3748294636393. The reversal of 3748294636380 is 836364928473.

3748294636380 is a `hidden beast` number, since 3 + 7 + 482 + 9 + 46 + 36 + 3 + 80 = 666.

It is a super-2 number, since 2×3748294636380² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407463021 + ... + 407472219.

It is an arithmetic number, because the mean of its divisors is an integer number (45305915200).

Almost surely, 2^{3748294636380} is an apocalyptic number.

3748294636380 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 3748294636380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524051788800).

3748294636380 is an abundant number, since it is smaller than the sum of its proper divisors (9299808941220).

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

3748294636380 is a wasteful number, since it uses less digits than its factorization.

3748294636380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3748294636380 in words is "three trillion, seven hundred forty-eight billion, two hundred ninety-four million, six hundred thirty-six thousand, three hundred eighty".