3427142400 has 540 divisors, whose sum is σ = 13846681464. Its totient is φ = 829440000.

The previous prime is 3427142333. The next prime is 3427142447. The reversal of 3427142400 is 42417243.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702100 + ... + 5702700.

Almost surely, 2^3427142400 is an apocalyptic number.

3427142400 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 3427142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923340732).

3427142400 is an abundant number, since it is smaller than the sum of its proper divisors (10419539064).

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

3427142400 is a wasteful number, since it uses less digits than its factorization.

3427142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3427142400 is about 58541.8004506182. The cubic root of 3427142400 is about 1507.6853562832.

Adding to 3427142400 its reverse (42417243), we get a palindrome (3469559643).

The spelling of 3427142400 in words is "three billion, four hundred twenty-seven million, one hundred forty-two thousand, four hundred".