3753340416000 has 1560 divisors, whose sum is σ = 16286348254176. Its totient is φ = 857441894400.

The previous prime is 3753340415969. The next prime is 3753340416041. The reversal of 3753340416000 is 6140433573.

3753340416000 is a `hidden beast` number, since 3 + 7 + 5 + 3 + 3 + 4 + 0 + 41 + 600 + 0 = 666.

It is a super-3 number, since 3×3753340416000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2032127077 + ... + 2032128923.

Almost surely, 2^{3753340416000} is an apocalyptic number.

3753340416000 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 3753340416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143174127088).

3753340416000 is an abundant number, since it is smaller than the sum of its proper divisors (12533007838176).

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

3753340416000 is an equidigital number, since it uses as much as digits as its factorization.

3753340416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 3753340416000 its reverse (6140433573), we get a palindrome (3759480849573).

The spelling of 3753340416000 in words is "three trillion, seven hundred fifty-three billion, three hundred forty million, four hundred sixteen thousand".