3436225632 has 384 divisors, whose sum is σ = 11946654720. Its totient is φ = 940584960.

The previous prime is 3436225619. The next prime is 3436225649. The reversal of 3436225632 is 2365226343.

3436225632 is a `hidden beast` number, since 34 + 3 + 62 + 2 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18984582 + ... + 18984762.

It is an arithmetic number, because the mean of its divisors is an integer number (31111080).

Almost surely, 2^3436225632 is an apocalyptic number.

3436225632 is a gapful number since it is divisible by the number (32) 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 3436225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973327360).

3436225632 is an abundant number, since it is smaller than the sum of its proper divisors (8510429088).

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

3436225632 is a wasteful number, since it uses less digits than its factorization.

3436225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 3436225632 is about 58619.3281435398. The cubic root of 3436225632 is about 1509.0161613073.

The spelling of 3436225632 in words is "three billion, four hundred thirty-six million, two hundred twenty-five thousand, six hundred thirty-two".