3400124534400 has 768 divisors, whose sum is σ = 12908002406400. Its totient is φ = 778883481600.

The previous prime is 3400124534381. The next prime is 3400124534437. The reversal of 3400124534400 is 44354210043.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 143920989 + ... + 143944611.

It is an arithmetic number, because the mean of its divisors is an integer number (16807294800).

Almost surely, 2^{3400124534400} is an apocalyptic number.

3400124534400 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 3400124534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454001203200).

3400124534400 is an abundant number, since it is smaller than the sum of its proper divisors (9507877872000).

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

3400124534400 is a wasteful number, since it uses less digits than its factorization.

3400124534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23737 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3400124534400 its reverse (44354210043), we get a palindrome (3444478744443).

The spelling of 3400124534400 in words is "three trillion, four hundred billion, one hundred twenty-four million, five hundred thirty-four thousand, four hundred".