374016128 has 64 divisors (see below), whose sum is σ = 771789120. Its totient is φ = 180403200.

The previous prime is 374016127. The next prime is 374016131. The reversal of 374016128 is 821610473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×374016128² = 279776128008224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 374016094 and 374016103.

It is not an unprimeable number, because it can be changed into a prime (374016127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714875 + ... + 715397.

It is an arithmetic number, because the mean of its divisors is an integer number (12059205).

Almost surely, 2^374016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385894560).

374016128 is an abundant number, since it is smaller than the sum of its proper divisors (397772992).

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

374016128 is a wasteful number, since it uses less digits than its factorization.

374016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 374016128 is about 19339.4965808317. The cubic root of 374016128 is about 720.4935710372.

The spelling of 374016128 in words is "three hundred seventy-four million, sixteen thousand, one hundred twenty-eight".