3743988134400 has 960 divisors, whose sum is σ = 14393175920640. Its totient is φ = 951434035200.

The previous prime is 3743988134353. The next prime is 3743988134441. The reversal of 3743988134400 is 44318893473.

3743988134400 is a `hidden beast` number, since 3 + 7 + 43 + 98 + 81 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2631052089 + ... + 2631053511.

It is an arithmetic number, because the mean of its divisors is an integer number (14992891584).

Almost surely, 2^{3743988134400} is an apocalyptic number.

3743988134400 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 3743988134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196587960320).

3743988134400 is an abundant number, since it is smaller than the sum of its proper divisors (10649187786240).

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

3743988134400 is a wasteful number, since it uses less digits than its factorization.

3743988134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3743988134400 in words is "three trillion, seven hundred forty-three billion, nine hundred eighty-eight million, one hundred thirty-four thousand, four hundred".