3401954640 has 400 divisors, whose sum is σ = 13875219072. Its totient is φ = 756200448.

The previous prime is 3401954561. The next prime is 3401954641. The reversal of 3401954640 is 464591043.

3401954640 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 9 + 5 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3401954595 and 3401954604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401954641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1677307 + ... + 1679333.

Almost surely, 2^3401954640 is an apocalyptic number.

3401954640 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 3401954640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937609536).

3401954640 is an abundant number, since it is smaller than the sum of its proper divisors (10473264432).

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

3401954640 is a wasteful number, since it uses less digits than its factorization.

3401954640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3401954640 is about 58326.2774399327. The cubic root of 3401954640 is about 1503.9826960624.

The spelling of 3401954640 in words is "three billion, four hundred one million, nine hundred fifty-four thousand, six hundred forty".