3401454400 has 84 divisors (see below), whose sum is σ = 8596061548. Its totient is φ = 1323786240.

The previous prime is 3401454379. The next prime is 3401454473. The reversal of 3401454400 is 44541043.

It can be written as a sum of positive squares in 6 ways, for example, as 145154304 + 3256300096 = 12048^2 + 57064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30472 + ... + 87928.

Almost surely, 2^3401454400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298030774).

3401454400 is an abundant number, since it is smaller than the sum of its proper divisors (5194607148).

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

3401454400 is a wasteful number, since it uses less digits than its factorization.

3401454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57516 (or 57501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3401454400 is about 58321.9889921460. The cubic root of 3401454400 is about 1503.9089747989.

Adding to 3401454400 its reverse (44541043), we get a palindrome (3445995443).

The spelling of 3401454400 in words is "three billion, four hundred one million, four hundred fifty-four thousand, four hundred".