3734834400 has 432 divisors, whose sum is σ = 14857642800. Its totient is φ = 904780800.

The previous prime is 3734834387. The next prime is 3734834401. The reversal of 3734834400 is 44384373.

It is a happy number.

3734834400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734834401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2612886 + ... + 2614314.

Almost surely, 2^3734834400 is an apocalyptic number.

3734834400 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 3734834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428821400).

3734834400 is an abundant number, since it is smaller than the sum of its proper divisors (11122808400).

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

3734834400 is a wasteful number, since it uses less digits than its factorization.

3734834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1450 counting only the distinct ones).

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

The square root of 3734834400 is about 61113.2915166578. The cubic root of 3734834400 is about 1551.5190657423.

The spelling of 3734834400 in words is "three billion, seven hundred thirty-four million, eight hundred thirty-four thousand, four hundred".