3430274400 has 576 divisors, whose sum is σ = 14499072000. Its totient is φ = 782369280.

The previous prime is 3430274377. The next prime is 3430274417. The reversal of 3430274400 is 44720343.

3430274400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7408569 + ... + 7409031.

It is an arithmetic number, because the mean of its divisors is an integer number (25172000).

Almost surely, 2^3430274400 is an apocalyptic number.

3430274400 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 3430274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249536000).

3430274400 is an abundant number, since it is smaller than the sum of its proper divisors (11068797600).

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

3430274400 is a wasteful number, since it uses less digits than its factorization.

3430274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3430274400 is about 58568.5444586085. The cubic root of 3430274400 is about 1508.1444980642.

Adding to 3430274400 its reverse (44720343), we get a palindrome (3474994743).

It can be divided in two parts, 3430 and 274400, that multiplied together give a cube (941192000 = 980³).

The spelling of 3430274400 in words is "three billion, four hundred thirty million, two hundred seventy-four thousand, four hundred".