738412416 has 256 divisors, whose sum is σ = 2520460800. Its totient is φ = 208465920.

The previous prime is 738412393. The next prime is 738412429. The reversal of 738412416 is 614214837.

It is a super-2 number, since 2×738412416² = 1090505792205914112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169036 + ... + 3169268.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^738412416 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 738412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

738412416 is an abundant number, since it is smaller than the sum of its proper divisors (1782048384).

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

738412416 is a wasteful number, since it uses less digits than its factorization.

738412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 738412416 is about 27173.7449756194. The cubic root of 738412416 is about 903.8568703356.

The spelling of 738412416 in words is "seven hundred thirty-eight million, four hundred twelve thousand, four hundred sixteen".