3730411238400 has 6336 divisors, whose sum is σ = 20000834150400. Its totient is φ = 668860416000.

The previous prime is 3730411238363. The next prime is 3730411238441. The reversal of 3730411238400 is 48321140373.

3730411238400 is a `hidden beast` number, since 3 + 7 + 3 + 0 + 4 + 11 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 120335846385 + ... + 120335846415.

Almost surely, 2^{3730411238400} is an apocalyptic number.

3730411238400 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 3730411238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000417075200).

3730411238400 is an abundant number, since it is smaller than the sum of its proper divisors (16270422912000).

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

3730411238400 is a wasteful number, since it uses less digits than its factorization.

3730411238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 3730411238400 its reverse (48321140373), we get a palindrome (3778732378773).

The spelling of 3730411238400 in words is "three trillion, seven hundred thirty billion, four hundred eleven million, two hundred thirty-eight thousand, four hundred".