3734438400 has 720 divisors, whose sum is σ = 16701841728. Its totient is φ = 774144000.

The previous prime is 3734438387. The next prime is 3734438413. The reversal of 3734438400 is 48344373.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3734438387) and next prime (3734438413).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870190 + ... + 8870610.

Almost surely, 2^3734438400 is an apocalyptic number.

3734438400 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 3734438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350920864).

3734438400 is an abundant number, since it is smaller than the sum of its proper divisors (12967403328).

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

3734438400 is a wasteful number, since it uses less digits than its factorization.

3734438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3734438400 is about 61110.0515463700. The cubic root of 3734438400 is about 1551.4642285705.

The spelling of 3734438400 in words is "three billion, seven hundred thirty-four million, four hundred thirty-eight thousand, four hundred".