3405507300 has 180 divisors, whose sum is σ = 11888854516. Its totient is φ = 838252800.

The previous prime is 3405507299. The next prime is 3405507307. The reversal of 3405507300 is 37055043.

It is a happy number.

3405507300 is a `hidden beast` number, since 3 + 40 + 550 + 73 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 985457664 + 2420049636 = 31392^2 + 49194^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405507307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89130 + ... + 121470.

Almost surely, 2^3405507300 is an apocalyptic number.

3405507300 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 3405507300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944427258).

3405507300 is an abundant number, since it is smaller than the sum of its proper divisors (8483347216).

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

3405507300 is a wasteful number, since it uses less digits than its factorization.

3405507300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32380 (or 32364 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3405507300 is about 58356.7245482472. The cubic root of 3405507300 is about 1504.5060501204.

The spelling of 3405507300 in words is "three billion, four hundred five million, five hundred seven thousand, three hundred".