3521138400 has 216 divisors, whose sum is σ = 13371878520. Its totient is φ = 866718720.

The previous prime is 3521138393. The next prime is 3521138473. The reversal of 3521138400 is 48311253.

It is a happy number.

3521138400 is a `hidden beast` number, since 3 + 521 + 138 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74791 + ... + 112409.

It is an arithmetic number, because the mean of its divisors is an integer number (61906845).

Almost surely, 2^3521138400 is an apocalyptic number.

3521138400 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 3521138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685939260).

3521138400 is an abundant number, since it is smaller than the sum of its proper divisors (9850740120).

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

3521138400 is a wasteful number, since it uses less digits than its factorization.

3521138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37658 (or 37642 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3521138400 is about 59339.1809852478. The cubic root of 3521138400 is about 1521.3449545491.

Adding to 3521138400 its reverse (48311253), we get a palindrome (3569449653).

The spelling of 3521138400 in words is "three billion, five hundred twenty-one million, one hundred thirty-eight thousand, four hundred".