3775348362240 has 2640 divisors, whose sum is σ = 17532720463104. Its totient is φ = 769189478400.

The previous prime is 3775348362229. The next prime is 3775348362281. The reversal of 3775348362240 is 422638435773.

3775348362240 is a `hidden beast` number, since 3 + 7 + 7 + 5 + 3 + 4 + 8 + 3 + 622 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8189475610 + ... + 8189476070.

Almost surely, 2^{3775348362240} is an apocalyptic number.

3775348362240 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 3775348362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766360231552).

3775348362240 is an abundant number, since it is smaller than the sum of its proper divisors (13757372100864).

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

3775348362240 is a wasteful number, since it uses less digits than its factorization.

3775348362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3775348362240 in words is "three trillion, seven hundred seventy-five billion, three hundred forty-eight million, three hundred sixty-two thousand, two hundred forty".