3521126400 has 336 divisors, whose sum is σ = 12725265888. Its totient is φ = 851968000.

The previous prime is 3521126353. The next prime is 3521126407. The reversal of 3521126400 is 46211253.

It is a super-2 number, since 2×3521126400² = 24796662249553920000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3521126407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6758140 + ... + 6758660.

Almost surely, 2^3521126400 is an apocalyptic number.

3521126400 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 3521126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362632944).

3521126400 is an abundant number, since it is smaller than the sum of its proper divisors (9204139488).

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

3521126400 is a wasteful number, since it uses less digits than its factorization.

3521126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3521126400 is about 59339.0798715315. The cubic root of 3521126400 is about 1521.3432263050.

Adding to 3521126400 its reverse (46211253), we get a palindrome (3567337653).

It can be divided in two parts, 3521 and 126400, that added together give a palindrome (129921).

The spelling of 3521126400 in words is "three billion, five hundred twenty-one million, one hundred twenty-six thousand, four hundred".