3785411404800 has 528 divisors, whose sum is σ = 14632778075200. Its totient is φ = 956311142400.

The previous prime is 3785411404799. The next prime is 3785411404829. The reversal of 3785411404800 is 84041145873.

3785411404800 is a `hidden beast` number, since 3 + 7 + 8 + 54 + 114 + 0 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12988680 + ... + 13276920.

Almost surely, 2^{3785411404800} is an apocalyptic number.

3785411404800 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 3785411404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316389037600).

3785411404800 is an abundant number, since it is smaller than the sum of its proper divisors (10847366670400).

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

3785411404800 is a wasteful number, since it uses less digits than its factorization.

3785411404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288299 (or 288270 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 3785411404800 in words is "three trillion, seven hundred eighty-five billion, four hundred eleven million, four hundred four thousand, eight hundred".