3509840400 has 240 divisors, whose sum is σ = 12987615168. Its totient is φ = 800768000.

The previous prime is 3509840381. The next prime is 3509840423. The reversal of 3509840400 is 40489053.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3509840400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216580 + ... + 232220.

Almost surely, 2^3509840400 is an apocalyptic number.

3509840400 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 3509840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493807584).

3509840400 is an abundant number, since it is smaller than the sum of its proper divisors (9477774768).

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

3509840400 is a wasteful number, since it uses less digits than its factorization.

3509840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3509840400 is about 59243.9060157245. The cubic root of 3509840400 is about 1519.7160711588.

The spelling of 3509840400 in words is "three billion, five hundred nine million, eight hundred forty thousand, four hundred".