3420654300 has 720 divisors, whose sum is σ = 13752786432. Its totient is φ = 718502400.

The previous prime is 3420654283. The next prime is 3420654319. The reversal of 3420654300 is 34560243.

3420654300 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 654 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56076270 + ... + 56076330.

Almost surely, 2^3420654300 is an apocalyptic number.

3420654300 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 3420654300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876393216).

3420654300 is an abundant number, since it is smaller than the sum of its proper divisors (10332132132).

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

3420654300 is a wasteful number, since it uses less digits than its factorization.

3420654300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3420654300 is about 58486.3599482820. The cubic root of 3420654300 is about 1506.7333296224.

The spelling of 3420654300 in words is "three billion, four hundred twenty million, six hundred fifty-four thousand, three hundred".