3403375920 has 640 divisors, whose sum is σ = 14193377280. Its totient is φ = 733224960.

The previous prime is 3403375919. The next prime is 3403375957. The reversal of 3403375920 is 295733043.

3403375920 is a `hidden beast` number, since 34 + 0 + 3 + 37 + 592 + 0 = 666.

3403375920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24842092 + ... + 24842228.

It is an arithmetic number, because the mean of its divisors is an integer number (22177152).

Almost surely, 2^3403375920 is an apocalyptic number.

3403375920 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 3403375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096688640).

3403375920 is an abundant number, since it is smaller than the sum of its proper divisors (10790001360).

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

3403375920 is a wasteful number, since it uses less digits than its factorization.

3403375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3403375920 is about 58338.4600413826. The cubic root of 3403375920 is about 1504.1921132103.

The spelling of 3403375920 in words is "three billion, four hundred three million, three hundred seventy-five thousand, nine hundred twenty".