3534400320 has 168 divisors, whose sum is σ = 12335024352. Its totient is φ = 856796160.

The previous prime is 3534400291. The next prime is 3534400343. The reversal of 3534400320 is 230044353.

It is a super-2 number, since 2×3534400320² = 24983971244032204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100947 + ... + 131373.

It is an arithmetic number, because the mean of its divisors is an integer number (73422764).

Almost surely, 2^3534400320 is an apocalyptic number.

3534400320 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 3534400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167512176).

3534400320 is an abundant number, since it is smaller than the sum of its proper divisors (8800624032).

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

3534400320 is a wasteful number, since it uses less digits than its factorization.

3534400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30469 (or 30448 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3534400320 is about 59450.8227024656. The cubic root of 3534400320 is about 1523.2525457505.

Adding to 3534400320 its reverse (230044353), we get a palindrome (3764444673).

The spelling of 3534400320 in words is "three billion, five hundred thirty-four million, four hundred thousand, three hundred twenty".