3436461504 has 224 divisors, whose sum is σ = 11641896960. Its totient is φ = 973679616.

The previous prime is 3436461493. The next prime is 3436461521. The reversal of 3436461504 is 4051646343.

3436461504 is a `hidden beast` number, since 3 + 4 + 3 + 646 + 1 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535074 + ... + 1537310.

Almost surely, 2^3436461504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3436461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820948480).

3436461504 is an abundant number, since it is smaller than the sum of its proper divisors (8205435456).

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

3436461504 is a wasteful number, since it uses less digits than its factorization.

3436461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3436461504 is about 58621.3400051551. The cubic root of 3436461504 is about 1509.0506881937.

The spelling of 3436461504 in words is "three billion, four hundred thirty-six million, four hundred sixty-one thousand, five hundred four".