3436387500 has 576 divisors, whose sum is σ = 13229153280. Its totient is φ = 673920000.

The previous prime is 3436387477. The next prime is 3436387501. The reversal of 3436387500 is 57836343.

3436387500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436387501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64837474 + ... + 64837526.

It is an arithmetic number, because the mean of its divisors is an integer number (22967280).

Almost surely, 2^3436387500 is an apocalyptic number.

3436387500 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 3436387500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614576640).

3436387500 is an abundant number, since it is smaller than the sum of its proper divisors (9792765780).

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

3436387500 is a wasteful number, since it uses less digits than its factorization.

3436387500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3436387500 is about 58620.7087981713. The cubic root of 3436387500 is about 1509.0398556762.

The spelling of 3436387500 in words is "three billion, four hundred thirty-six million, three hundred eighty-seven thousand, five hundred".