3500010400 has 72 divisors (see below), whose sum is σ = 8647509024. Its totient is φ = 1383110400.

The previous prime is 3500010373. The next prime is 3500010401. The reversal of 3500010400 is 40100053.

3500010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500010401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40045 + ... + 92755.

It is an arithmetic number, because the mean of its divisors is an integer number (120104292).

Almost surely, 2^3500010400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323754512).

3500010400 is an abundant number, since it is smaller than the sum of its proper divisors (5147498624).

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

3500010400 is a wasteful number, since it uses less digits than its factorization.

3500010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52814 (or 52801 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3500010400 is about 59160.8857269734. The cubic root of 3500010400 is about 1518.2959897709.

Adding to 3500010400 its reverse (40100053), we get a palindrome (3540110453).

The spelling of 3500010400 in words is "three billion, five hundred million, ten thousand, four hundred".