3418661400 has 648 divisors, whose sum is σ = 14001955380. Its totient is φ = 687456000.

The previous prime is 3418661387. The next prime is 3418661413. The reversal of 3418661400 is 41668143.

It is an interprime number because it is at equal distance from previous prime (3418661387) and next prime (3418661413).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 110279385 + ... + 110279415.

Almost surely, 2^3418661400 is an apocalyptic number.

3418661400 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 3418661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000977690).

3418661400 is an abundant number, since it is smaller than the sum of its proper divisors (10583293980).

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

3418661400 is a wasteful number, since it uses less digits than its factorization.

3418661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3418661400 is about 58469.3201602345. The cubic root of 3418661400 is about 1506.4406612298.

Multiplying 3418661400 by its product of nonzero digits (13824), we get a square (47259575193600 = 6874560²).

The spelling of 3418661400 in words is "three billion, four hundred eighteen million, six hundred sixty-one thousand, four hundred".