3464093952 has 180 divisors, whose sum is σ = 11269070736. Its totient is φ = 1049656320.

The previous prime is 3464093923. The next prime is 3464093953. The reversal of 3464093952 is 2593904643.

It is a junction number, because it is equal to n+sod(n) for n = 3464093898 and 3464093907.

It is not an unprimeable number, because it can be changed into a prime (3464093953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 220503 + ... + 235689.

Almost surely, 2^3464093952 is an apocalyptic number.

3464093952 is a gapful number since it is divisible by the number (32) 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 3464093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634535368).

3464093952 is an abundant number, since it is smaller than the sum of its proper divisors (7804976784).

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

3464093952 is a wasteful number, since it uses less digits than its factorization.

3464093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3464093952 is about 58856.5540275677. The cubic root of 3464093952 is about 1513.0846336942.

The spelling of 3464093952 in words is "three billion, four hundred sixty-four million, ninety-three thousand, nine hundred fifty-two".