1374126336 has 432 divisors, whose sum is σ = 4697602560. Its totient is φ = 395366400.

The previous prime is 1374126331. The next prime is 1374126373. The reversal of 1374126336 is 6336214731.

1374126336 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 12 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1374126336.

It is not an unprimeable number, because it can be changed into a prime (1374126331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25926886 + ... + 25926938.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^1374126336 is an apocalyptic number.

1374126336 is a gapful number since it is divisible by the number (16) 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 1374126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348801280).

1374126336 is an abundant number, since it is smaller than the sum of its proper divisors (3323476224).

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

1374126336 is a wasteful number, since it uses less digits than its factorization.

1374126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1374126336 is about 37069.2100806046. The cubic root of 1374126336 is about 1111.7544788590.

The spelling of 1374126336 in words is "one billion, three hundred seventy-four million, one hundred twenty-six thousand, three hundred thirty-six".