3454838400 has 768 divisors, whose sum is σ = 13599129600. Its totient is φ = 763084800.

The previous prime is 3454838393. The next prime is 3454838423. The reversal of 3454838400 is 48384543.

It is a happy number.

It is a super-2 number, since 2×3454838400² = 23871816740229120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 73507177 + ... + 73507223.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^3454838400 is an apocalyptic number.

3454838400 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 3454838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799564800).

3454838400 is an abundant number, since it is smaller than the sum of its proper divisors (10144291200).

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

3454838400 is a wasteful number, since it uses less digits than its factorization.

3454838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 3454838400 is about 58777.8733878659. The cubic root of 3454838400 is about 1511.7358515068.

The spelling of 3454838400 in words is "three billion, four hundred fifty-four million, eight hundred thirty-eight thousand, four hundred".