373516416 has 288 divisors, whose sum is σ = 1349138700. Its totient is φ = 98316288.

The previous prime is 373516411. The next prime is 373516439. The reversal of 373516416 is 614615373.

373516416 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 1 + 641 + 6 = 666.

373516416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 373262400 + 254016 = 19320^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (373516411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733570 + ... + 734078.

Almost surely, 2^373516416 is an apocalyptic number.

373516416 is a gapful number since it is divisible by the number (36) 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 373516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674569350).

373516416 is an abundant number, since it is smaller than the sum of its proper divisors (975622284).

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

373516416 is a wasteful number, since it uses less digits than its factorization.

373516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 373516416 is about 19326.5727949888. The cubic root of 373516416 is about 720.1725512366.

The spelling of 373516416 in words is "three hundred seventy-three million, five hundred sixteen thousand, four hundred sixteen".