3465638190 has 384 divisors, whose sum is σ = 11996812800. Its totient is φ = 705438720.

The previous prime is 3465638179. The next prime is 3465638221. The reversal of 3465638190 is 918365643.

3465638190 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 638 + 1 + 9 + 0 = 666.

3465638190 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 super-2 number, since 2×3465638190² = 24021296127972952200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4272885 + ... + 4273695.

It is an arithmetic number, because the mean of its divisors is an integer number (31241700).

Almost surely, 2^3465638190 is an apocalyptic number.

3465638190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465638190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998406400).

3465638190 is an abundant number, since it is smaller than the sum of its proper divisors (8531174610).

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

3465638190 is a wasteful number, since it uses less digits than its factorization.

3465638190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3465638190 is about 58869.6712238144. The cubic root of 3465638190 is about 1513.3094366495.

The spelling of 3465638190 in words is "three billion, four hundred sixty-five million, six hundred thirty-eight thousand, one hundred ninety".